The Effect of Scenario-Based Probability Instruction on the Problem-Posing Skills of Secondary School Students and Their Opinions about the Application (Olasılık Konusunun Senaryo İle Öğretiminin Ortaokul Öğrencilerinin Problem Kurma Becerilerine Etkisi ve Öğrencilerin Uygulamaya İlişkin Görüşleri )

Author :  

Year-Number: 2022-56
Language : null
Konu :
Number of pages: 417-434
Mendeley EndNote Alıntı Yap

Abstract

This study examined the effect of scenario-based instruction of probability, one of the eighth-grade sub-learning areas of secondary school, on students' problem-posing skills. In addition, the opinions of eighth-grade students on the use of scenarios about probability instruction were also examined. The study was carried out in the 2018-2019 academic year. The study group consisted of 39 eighth-grade students studying in a secondary school in a city North of the Black Sea Region. Data collection tools used in the study were the Equivalence test, Problem-Posing Test, scenarios and activities prepared for the experimental group, and Semi-Structured Interview Form. Quantitative and qualitative approaches were used in the study. The research model was set as a pretest-posttest quasi-experimental model with a control group. Pretest and posttest were administered on the experimental and control groups. Equivalence test results of the experimental and control groups constitute the study's quantitative data. Quantitative data were analyzed with the SPSS 22.0 statistical program. Qualitative data of the study were obtained from Problem-Posing Test and Semi-Structured Interview Form. The study's qualitative data were analyzed using descriptive and content analysis from data analysis techniques. As a result of the study, both experimental and control group students were observed to be at a better level in the semi-structured problem-posing situation that could be solved using the given visual compared to the free and structured problem-posing situations. This study concluded that scenario-based mathematics teaching contributed positively to the problem-posing skills of the students, and the application had a positive effect on the students. For this reason, it is recommended to use the scenario-based instruction method in the problem-posing process in mathematics teaching.

 

Bu araştırma ile ortaokul sekizinci sınıf alt öğrenme alanlarından olan olasılık konusunun öğretiminde senaryo ile öğretimin öğrencilerin problem kurma becerilerine etkisi incelenmektedir. Ayrıca sekizinci sınıf öğrencilerinin olasılık konusunun öğretiminde senaryoların kullanımı ile ilgili görüşleri de incelenmiştir. Araştırma 2018-2019 eğitim öğretim yılında gerçekleştirilmiştir. Araştırma grubunu Karadeniz Bölgesi’ nin kuzeyinde bir ilde bulunan ortaokulda öğrenim gören 39, 8. sınıf öğrencisi oluşturmaktadır. Veri toplama araçları olarak denklik testi (DT), Problem Kurma Testi (PKT), deney grubunda kullanılmak üzere hazırlanmış senaryo ve etkinlikler ve Yarı Yapılandırılmış Görüşme Formu (YYGF) kullanılmıştır. Araştırmada nicel ve nitel yaklaşımlar kullanılmıştır. Araştırmanın modeli kontrol gruplu ön test son test yarı deneysel model olarak belirlenmiştir. Araştırmada deney ve kontrol grupları kullanılarak ön test ve son test uygulamaları yapılmıştır. Araştırmanın nicel verilerini deney ve kontrol gruplarının Denklik Testi sonuçları oluşturmaktadır. Nicel verilerin analizi SPSS 22.0 istatistik programı ile analiz edilmiştir. Araştırmada nitel veriler PKT ile YYGF’den elde edilmiştir. Araştırmanın nitel verileri nitel veri analiz tekniklerinden betimsel ve içerik analizi kullanılarak çözümlenmiştir. Araştırma sonucunda deney ve kontrol grubu öğrencilerinin verilen görsele uygun çözülebilen yarı yapılandırılmış problem kurma durumunda serbest ve yapılandırılmış problem kurma durumlarına göre daha iyi düzeyde oldukları görülmüştür. Bu araştırma ile senaryo tabanlı yapılan matematik öğretiminin, öğrencilerin problem kurma becerilerine olumlu katkı sağladığı ve uygulamanın öğrenciler üzerinde çoğunlukla olumlu bir etki bıraktığı sonucuna ulaşılmıştır. Bu nedenle matematik öğretiminde senaryo tabanlı öğretim yönteminin problem kurma sürecinde kullanılması önerilmektedir.

Keywords

Abstract

This study examined the effect of scenario-based instruction of probability, one of the eighth-grade sub-learning areas of secondary school, on students' problem-posing skills. In addition, the opinions of eighth-grade students on the use of scenarios about probability instruction were also examined. The study was carried out in the 2018-2019 academic year. The study group consisted of 39 eighth-grade students studying in a secondary school in a city North of the Black Sea Region. Data collection tools used in the study were the Equivalence test, Problem-Posing Test, scenarios and activities prepared for the experimental group, and Semi-Structured Interview Form. Quantitative and qualitative approaches were used in the study. The research model was set as a pretest-posttest quasi-experimental model with a control group. Pretest and posttest were administered on the experimental and control groups. Equivalence test results of the experimental and control groups constitute the study's quantitative data. Quantitative data were analyzed with the SPSS 22.0 statistical program. Qualitative data of the study were obtained from Problem-Posing Test and Semi-Structured Interview Form. The study's qualitative data were analyzed using descriptive and content analysis from data analysis techniques. As a result of the study, both experimental and control group students were observed to be at a better level in the semi-structured problem-posing situation that could be solved using the given visual compared to the free and structured problem-posing situations. This study concluded that scenario-based mathematics teaching contributed positively to the problem-posing skills of the students, and the application had a positive effect on the students. For this reason, it is recommended to use the scenario-based instruction method in the problem-posing process in mathematics teaching.

Keywords


  • Abu-Elwan, R. E. (1999). “The development of mathematical problem posing skills for prospective middle

  • Abu-Elwan, R. E. (1999). “The development of mathematical problem posing skills for prospective middleschool teachers”, In F. Mina & A. Rogerson (Eds.), Proceedings of The International Conference onMathematical Education into The 21st Century: Social Challenges, Issues and Approaches (Vol. 2, pp. 1-8). Cairo, Egypt. http://dipmat.math.unipa.it/~grim/EAbu-elwan8.pdf.

  • Abu-Elwan, R. E. (2002). “Effectiveness of Problem Posing Strategies on Prospective Teachers' Problem Solving Performance”, Journal of Science and Mathematics Education in S. E. Asia, 1: 56-69.

  • Akay, H. (2006). “Problem Kurma Yaklaşımıyla Yapılan Matematik Öğretiminin Öğrencilerin AkademikBaşarısı, Problem Çözme Becerisi ve Yaratıcılığı Üzerindeki Etkisinin İncelenmesi”, Yayınlanmamış Doktora Tezi, Gazi Üniversitesi, Eğitim Bilimleri Enstitüsü, Ankara.

  • Akay, H., & Boz, N. (2009). “The Effect of Problem Posing Oriented Calculus-II Instruction on Academic Success”, Research in Mathematical Education, 13(2): 75-90.

  • Akay, H., Soybaş, D. & Argün, Z. (2006). “Problem kurma deneyimleri ve matematik öğretiminde açık-uçlu soruların kullanımı”, Kastamonu Eğitim Dergisi, 14(1): 129-146.

  • Akins, M. & Crichton, S. (2003, May). “Scenario based learning: Geography in the field using GIS/GPS forcurriculum integration”, Workshop session presented at the Alberta Teachers' Association Computer Conference, Jasper, Alberta. http://www.members.shaw.ca/bonefro/gps/akins_melina_gps.pdf

  • Akkan, Y., Çakıroğlu, Ü., & Güven, B. (2009). “Equation Forming and Problem Posing Abilities Of 6th and7th Grade Primary School Students”, Mehmet Akif Ersoy University Journal of Education Faculty, 17: 41- 55. Altun, M. (2014). Ortaokullarda (5, 6, 7 ve 8. Sınıflarda) Matematik Öğretimi, Aktüel Yayıncılık, Bursa.

  • Bai, G. (2004). “Discussion of Mathematical Creativity in Middle School Through The Example of Mathematics Education in The United States”, Shu Xue Tong Bao, 4: 17–18.

  • Baki, A. (2014). Kuramdan Uygulamaya Matematik Eğitimi. Harf Yayınları, Ankara.Baki, A. (2018). Matematiği Öğretme Bilgisi, Pegem Akademi Yayınları, Ankara.

  • Batanero, C., & Serrano, L. (1999). “The Meaning of Randomness for Secondary School Students”, Journal for Research in Mathematics Education, 30(5): 558-567.

  • Baykul, Y. (2014). Ortaokulda Matematik Öğretimi (5-8. Sınıflar). Pegem Akademi Yayınları, Ankara.

  • Brown, S. I., & Walter, M. I. (1990). The Art of Problem Posing (2nd Ed.), Lawrence Erlbaum Associates, Inc. New Jersey.

  • Büyüköztürk, Ş. (2013). Bilimsel Araştırma Yöntemleri, Pegem Akademi Yayınları, Ankara.

  • Cai, J. (2003). “Singaporean Students' Mathematical Thinking in Problem Solving and Problem Posing: AnExploratory Study”, International Journal of Mathematical Education in Science and Technology, 34(5): 719- 737.

  • Cankoy, O. & Darbaz, S. (2010). “Problem Kurma Temelli Problem Çözme Öğretiminin Problemi Anlama Başarısına Etkisi”, Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 38: 11-24.

  • Carter, T. A. (2005). “Knowledge and Understanding of Probability and Statistics Topics by Preservice pk-8 Teachers”, Unpublished Doctoral Dissertation, Texas A & M University, Texas.

  • Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B. (2005). “An Empirical Taxonomy of Problem Posing Processes”, ZDM, 37(3): 149-158.

  • Çelen, İ. (2008). “Eğitimde Dramada Uzman Rolü Yaklaşımı ve İngilizce Öğretimi: İlköğretim DördüncüSınıf Öğrencileri Üzerine Bir Araştırma”, Yayınlanmamış Yüksek Lisans Tezi, Adnan Menderes Üniversitesi Sosyal Bilimler Enstitüsü, Aydın.

  • Çetinkaya, A. (2017).“İlköğretim 8. Sınıf Öğrencilerinin Problem Kurma Becerilerinin İncelenmesi”, Yayımlanmamış Yüksek Lisans Tezi, Erciyes Üniversitesi Eğitim Bilimleri Enstitüsü, Kayseri.

  • Çimen, E. E. & Yıldız, Ş. (2017). “Ortaokul Matematik Ders Kitaplarında Yer Verilen Problem Kurma Etkinliklerinin İncelenmesi”,Turkish Journal of Computer and Mathematics Education, 8(3): 378-407.

  • Delisle, R. (1997). How to Use Problem-Based Learning in The Classroom, VA: ASCD Publication, Alexandria.

  • Dickerson, V. M. (1999). “The Impact of Problem Posing Instruction on The Mathematical Problem Solving Achievement of Seventh Graders”, Unpublished Doctoral Dissertation, University of Emory, Atlanta.

  • Dooren, W. V., Bock, D. D., Depaepe, F., Janssens, D. & Verschaffel, L. (2003). “The Illusion of Linearity:Expanding The Evidence Towards Probabilistic Reasoning”, Educational Studies in Mathematic, 53: 113-138.English, L. D. (1998). “Children's Problem Posing within Formal and Informal Contexts”, Journal for Research in Mathematics Education, 29(1): 83-106.

  • Fischbein, E. (1975). The Intuitive Sources of Probabilistic Thinking in Children, The Netherlands, Reidel, Dordrecht.

  • Gallow, D. & Grant, H. (2000). What is Problem-Based Learning?, Problem-Based Learning Faculty Institute, Winter.

  • Gonzales, N. A. (1994). “Problem Posing: A Neglected Component in Mathematics Courses for Prospective Elementary and Middle School Teachers”, School Science and Mathematics, 94(2): 78-84.

  • Gonzales, N. A. (1998). “A blueprint for problem posing”, School Science and Mathematics, 98(8): 448-456.Gürbüz, R. (2006). “Olasılık Kavramlarıyla İlgili Gelistirilen Öğretim Materyallerinin Öğrencilerin Kavramsal Gelisimine Etkisi”, Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, 20: 59-68.

  • Gürbüz, R., Çatlıoğlu, H. Birgin, O. & Erdem, E. (2010). “An Investigation of Fifth Grade Students'Conceptual Development of Probability through Activity Based Instruction: A Quasi-Experimental Study”, Educational Sciences: Theory & Practice, 10(2): 1021-1069.

  • Hayat, F. (2009). “İlkoğretim 8. Sınıf Oğrencilerinin Olasılıkla İlgili Kavramsal ve İslemsel Bilgi Duzeyleri veKavram Yanılgılarının Belirlenmesi”, Yayınlanmamıs Yüksek Lisans Tezi, Atatürk Üniversitesi, Erzurum.

  • Haynes, S. R., Spence, L. & Lenze, L. (2009, October 20). “Scenario-Based Assessment of LearningExperiences”, Paper presented at the 39th ASEE/IEEE Frontiers in Education Conference. http://fieconference.org/fie2009/papers/1490.pdf

  • Işık, C. & Kar, T. (2015). “Altıncı Sınıf Öğrencilerinin Kesirlerle İlgili Açık Uçlu Sözel Hikâyeye Yönelik Kurdukları Problemlerin İncelenmesi”, Türk Bilgisayar ve Matematik Eğitimi Dergisi, 6(2): 230-249.

  • Kazak, S. (2009). “Olasılık Konusu Öğrencilere Neden Zor Gelmektedir?”. (Ed. Erhan Bingölbali & MehmetFatih Özmantar), Matematiksel Kavram Yanılgıları ve Çözüm Önerileri, ss. 217-239, Pegem Akademi Yayınları, Ankara.

  • Kılıç, Ç. (2013). “Sınıf Öğretmeni Adaylarının Farklı Problem Kurma Durumlarında Sergilemiş Oldukları Performansın Belirlenmesi”, Kuram ve Uygulamada Eğitim Bilimleri, 13(2): 1195-1211.

  • Kindley, R. (2002). “Scenario-Based E-Learning: A Step Beyond Traditional E-Learning”, http://www.learningcircuits.org/2002/may2002/kindley.html

  • Kojima, K., Miwa, K., & Matsui, T. (2013). “Supporting Mathematical Problem Posing with a System forLearning Generation Processes through Examples”, International Journal of Artificial Intelligence in Education, 22(4):161-190.

  • Korkmaz, A. (2005). “Olasılık Kuramının Doğuşu”, Ankara Üniversitesi SBF Dergisi, 60(2): 171-193.Leung, S. S. (1993). “The Relation of Mathematical Knowledge and Creative Thinking to The MathematicalProblem Posing of Prospective Elementary School Teachers on Tasks Differing in Numerical Information Content”, Unpublished Doctoral Dissertation, University of Pittsburg, Pittsburg.

  • Mallart, A., Font, V., & Diez, J. (2017). “Case Study on Mathematics Pre-Service Teachers' Difficulties inProblem Posing”, EURASIA Journal of Mathematics, Science and Technology Education, 14(4): 1465-1481.

  • Miles, M. B., & Huberman, A. M. (1994). An Expanded Source Book: Qualitative Data Analysis, Sage Publications, London.

  • Ministry of National Education [MoNE]. (2013). Secondary School Mathematics Teaching Program and Guide (5th, 6th, 7th, 8th Grades), Ministry of National Education, Board of Education, Ankara.

  • Ministry of National Education [MoNE]. (2016). Secondary Education Mathematics Curriculum, Ministry of National Education, Board of Education, Ankara.

  • Ministry of National Education [MoNE]. (2018). Teaching Mathematics (1, 2, 3, 4, 5, 6, 7 and 8th Grades) Program. Ministry of National Education, Board of Education, Ankara.

  • National Council of Teachers of Mathematics [NCTM].(1989). Curriculum and Evaluation Standarts for School Mathematics. Reston,VA: Author.

  • National Council of Teachers of Mathematics [NCTM]. (2000). Principles and Standard for School Mathematics. Reston, VA: National Council of Teachers of Mathematics.

  • Polya, G. (1973). How to Solve It: A New Aspect of Mathematical Method, Princeton University Press, New Jersey.

  • Rybarczyk, J.B., Baines, A.T., McVey, M., Thompson, J.T., & Wilkins, H. (2007). “A Case-based ApproachIncreases Student Learning Outcomes and Comprehension of Cellular Respiration Concepts”, Bıochemıstry and Molecular Bıology Educatıon, 35(3): 181–186.

  • Schank, R. C., Berman, T. R., & Macperson, K. A. (1999). “Instructional design theories and models: A newparadigm of instructional theory (Vol. II)”, (Ed. C.M. Reigeluth), Learning by Doing, pp. 161–181, NJ: Lawrence Erlbaum Associates, Mahwah.

  • Schlottmann, A. (2001). “Children's Probability Intuitions: Understanding The Expected Value of Complex Gambles”, Child Development, 72(1): 103–122.

  • Siddiqui, A., Khan, M. & Akhtar, S. (2008). “Supply Chain Simulator: A Scenario-Based Educational Tool to Enhance Student Learning”, Journal Computers & Education, 51(1): 252-261.

  • Silber, S., & Cai, J. (2017). “Pre-service Teachers' Free and Structured Mathematical Problem Posing”, International Journal of Mathematical Education in Science and Technology, 48(2): 163-184.

  • Silver, E. A., & Cai, J. (1996). “An analysis of arithmetic problem posing by middle school”, Journal for Research in Mathematics Education, 27: 521-539.

  • Snoek, M. (2003). “The Use and Methodology of Scenario Making”, European Journal of Teacher Education, 26 (1): 9-19.

  • Stoyanova, E. & Ellerton, N. F. (1996). “A Framework for Research into Students’ Problem Posing”, (Ed. P.Clarkson), Technology in Mathematics Education, pp.518–525, Mathematics Education Research Group of Australasia, Melbourne.

  • Stoyanova, E. N. (1997). “Extending and Exploring Students' Problem Solving via Problem Posing: A Studyof Years 8 and 9 Students Involved in Mathematics Challenge and Enrichment Stages of Euler EnrichmentProgram for Young Australians”, Unpublished Doctoral Dissertation, Edith Cowan University, Joondalup.

  • Tertemiz, N. & Sulak, S. E. (2013). “İlköğretim Beşinci Sınıf Öğrencilerinin Problem Kurma Becerilerinin İncelenmesi”, İlköğretim Online, 12(3): 713-729.

  • Tertemiz, N. I. (2017). “İlkokul Öğrencilerinin Dört İşlem Becerisine Dayalı Kurdukları Problemlerin İncelenmesi”, Türk Eğitim Bilimleri Dergisi, 15(1): 1-25.

  • Turhan, B. & Güven, M. (2014). “Problem Kurma Yaklaşımıyla Gerçekleştirilen Matematik ÖğretimininProblem Çözme Başarısı, Problem Kurma Becerisi ve Matematiğe Yönelik Görüşlere Etkisi”, Çukurova Üniversitesi Eğitim Fakültesi Dergisi, 43(2): 217-234.

  • O'Connell, A. A. (1999). “Understanding The Nature of Errors in Probability Problem-Solving”, Educational Research and Evaluation, 5(1):1-21.

  • Özcan, G. (2007). “Problem Çözme Yönteminin Eleştirel Düşünme ve Erişiye Etkisi”, Yayınlanmamış Doktora Tezi, Abant İzzet Baysal Üniversitesi, Sosyal Bilimler Enstitüsü, Bolu.

  • Usta, N., Yılmaz, M., Kartopu, S., & Kadan, Ö. F. (2018). “Impact of Visuals on Primary School 4th Graders'Problem-Solving Success”, Universal Journal of Educational Research, 6(10): 2160-2168. DOI: 10.13189/ujer.2018.061014

  • Ünlü, M. & Sarpkaya Aktaş, G. (2017). “Ortaokul Matematik Öğretmeni Adaylarının Cebirsel İfade veDenklemlere Yönelik Kurdukları Problemlerin İncelenmesi”, Türk Bilgisayar ve Matematik Eğitimi Dergisi, 8(1): 161-187.

  • Van de Walle,. J.,A., Karp, K. S., & Bay-Williams, J.M. (2013). “İlkokul ve Ortaokul Matematiği, Gelişimsel Yaklaşımla Öğretim”, (Çev. Edt. S. Durmuş), Nobel Yayın Dağıtım, Ankara.

                                                                                                                                                                                                        
  • Article Statistics